Search a number
-
+
13231223220 = 22351271919091
BaseRepresentation
bin11000101001010010…
…00111000110110100
31021011002212210002110
430110221013012310
5204044143120340
610024531011020
7645611353545
oct142451070664
937132783073
1013231223220
11567a753926
122693139a70
13132b26b987
148d73584cc
155268c7680
hex314a471b4

13231223220 has 96 divisors (see below), whose sum is σ = 37538758656. Its totient is φ = 3481833600.

The previous prime is 13231223197. The next prime is 13231223293. The reversal of 13231223220 is 2232213231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1450875 + ... + 1459965.

It is an arithmetic number, because the mean of its divisors is an integer number (391028736).

Almost surely, 213231223220 is an apocalyptic number.

13231223220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13231223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18769379328).

13231223220 is an abundant number, since it is smaller than the sum of its proper divisors (24307535436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13231223220 is a wasteful number, since it uses less digits than its factorization.

13231223220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9421 (or 9419 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13231223220 its reverse (2232213231), we get a palindrome (15463436451).

The spelling of 13231223220 in words is "thirteen billion, two hundred thirty-one million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 191 254 381 382 508 573 635 762 764 955 1146 1270 1524 1905 1910 2292 2540 2865 3810 3820 5730 7620 9091 11460 18182 24257 27273 36364 45455 48514 54546 72771 90910 97028 109092 121285 136365 145542 181820 242570 272730 291084 363855 485140 545460 727710 1154557 1455420 1736381 2309114 3463671 3472762 4618228 5209143 5772785 6927342 6945524 8681905 10418286 11545570 13854684 17318355 17363810 20836572 23091140 26045715 34636710 34727620 52091430 69273420 104182860 220520387 441040774 661561161 882081548 1102601935 1323122322 2205203870 2646244644 3307805805 4410407740 6615611610 13231223220